Bridges are a critical element of any transportation network, and their safe and reliable operation is paramount. Bridge closures have major economic impact; Therefore, it is important that decisions that affect the operation of bridges are based on reliable data. The forces that bridges and the vehicles on them experience in high wind are poorly quantified. The accepted state of the art for designers and operators is that decisions about the bridge design are largely based on wind tunnel testing, with bridge operation plans arrived at separately based on experience and ad-hoc assumptions. This paper attempts to reframe the design process by considering computational modelling of wind-bridge interaction. Two case studies are considered: The Rose Fitzgerald Kennedy Bridge in Ireland and the Queensferry Crossing in Scotland. Results of computational models are presented, which have been validated using field data generously provided by Transport Infrastructure Ireland and Transport Scotland. This builds confidence in the use of such methods in the design and prediction of wind effects on long-span bridges.